Question

The base ,altitude and the one diagonal of a rhombus are 10cm ,7cm and

12cm respectively. Find the other diagonal.​

Answer 1

The base ,altitude and the one diagonal of a rhombus are 10cm ,7cm and  12cm respectively. The other diagonal is 11.67 cm ≈ 12 cm. ​

• Given,
• The base of a rhombus = b = 10 cm
• The altitude of a rhombus = h = 7 cm
• The one diagonal of a rhombus = d1 =  12 cm
• Formulae for calculating the area of rhombus are:
• A = 1/2 * d1 * d2  (calculating area using the diagonals)
• A = b * h (calculating the area using sides)
• Therefore,
• 1/2 * d1 * d2 = b * h
• 1/2 * 12 * d2 = 10 * 7
• 6 * d2 = 10 * 7
• 3 * d2 = 5 * 7
• d2 = (5 * 7)/3 = 35/3
• ∴ d2 = 11.67 cm ≈ 12 cm